SETS Flashcards

(15 cards)

1
Q

What is a set?

A

A set is a collection of distinct objects, considered as an object in its own right.

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2
Q

True or False: A set can contain duplicate elements.

A

False

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3
Q

What notation is used to denote a set?

A

Sets are typically denoted using curly braces, e.g., {a, b, c}.

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4
Q

Fill in the blank: The empty set is denoted by _____ .

A

∅ or {}

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5
Q

Define a finite set.

A

A finite set is a set with a limited number of elements.

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6
Q

What is an infinite set?

A

An infinite set is a set that has an unlimited number of elements.

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7
Q

Multiple Choice: Which of the following is an example of a subset? A) {1, 2} B) {1, 2, 3} C) {2, 3, 4}

A

A) {1, 2} is a subset of {1, 2, 3}.

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8
Q

True or False: The universal set contains all possible elements under consideration.

A

True

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9
Q

What is the power set of a set?

A

The power set is the set of all possible subsets of a given set.

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10
Q

What symbol denotes the union of two sets?

A

The union of two sets is denoted by the symbol ∪.

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11
Q

Fill in the blank: The intersection of sets A and B is denoted by _____ .

A

A ∩ B

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12
Q

Define a proper subset.

A

A proper subset is a subset that is not identical to the original set.

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13
Q

Multiple Choice: Which of the following is NOT a type of set? A) Finite set B) Infinite set C) Random set

A

C) Random set

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14
Q

True or False: Two sets are equal if they have the same elements.

A

True

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15
Q

What does the notation A - B represent?

A

The notation A - B represents the difference between sets A and B, containing elements in A that are not in B.

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